R$100 in 2013

R$154.8 in 2021

The inflation rate in Brazil between 2013 and today has been 54.8%, which translates into a total increase of R$54.8. This means that **100 reals in 2013 are equivalent to 154.8 reals in 2021**. In other words, the purchasing power of R$100 in 2013 equals R$154.8 today. The average annual inflation rate has been 4.98%.

The following chart depicts the equivalence of R$100 throughout the years due to inflation and CPI changes. All values are equivalent in terms of purchasing power, which means that for each year the same goods or services could be bought with the indicated amount of money.

All calculations are performed in the local currency (BRL) and using 6 decimal digits. Results show only up to 2 decimal digits to favour readability. Inflation data is provided by governments and international institutions on a monthly basis. Today's values were obtained by estimating figures from recent trends.

The following table contains relevant indicators:

Indicator | Value |
---|---|

Total Inflation (2013-2021) | 54.36% |

Total Inflation* | 54.8% |

Annual inflation avg. (2013-2021) | 5.58% |

Annual inflation avg.* | 4.98% |

CPI 2013 | 83.58 |

CPI 2021 | 129.01 |

CPI today* | 129.38 |

R$1 in 2013 | R$1.54 in 2021 |

* Values extrapolated from the last official data to obtain today's values.

There are several ways to calculate the time value of money. Depending on the data available, results can be obtained by using the compound interest formula or the Consumer Price Index (CPI) formula.

Given that money changes with time as a result of an inflation rate that acts as a compound interest, the following formula can be used: **FV = PV (1 + i) ^{n}**, where:

- FV: Future Value
- PV: Present Value
- i: Interest rate (inflation)
- n: Number of times the interest is compounded (i.e. # of years)

In this case, the future value represents the final amount obtained after applying the inflation rate to our initial value. In other words, it indicates how much are R$100 worth today. There are 8 years between 2013 and 2021 and the average inflation rate has been 4.975%. Therefore, we can resolve the formula like this:

**FV = PV (1 + i) ^{n} = R$100 * (1 + 0.05)^{8} = R$154.36**

When the CPI for both start and end years is known, the following formula can be used:

Final value = Initial value *

CPI finalCPI initial

In this case, the CPI in 2013 was 83.58 and the CPI today is 129.38. Therefore,

Final value = Initial value *

CPI finalCPI initial

= R$100 *
129.0183.58

= R$154.36
Initial Value | Equivalent value | |
---|---|---|

R$1 real in 2013 | R$1.55 reals today | |

R$5 reals in 2013 | R$7.74 reals today | |

R$10 reals in 2013 | R$15.48 reals today | |

R$50 reals in 2013 | R$77.4 reals today | |

R$100 reals in 2013 | R$154.8 reals today | |

R$500 reals in 2013 | R$774 reals today | |

R$1,000 reals in 2013 | R$1,548.01 reals today | |

R$5,000 reals in 2013 | R$7,740.04 reals today | |

R$10,000 reals in 2013 | R$15,480.08 reals today | |

R$50,000 reals in 2013 | R$77,400.39 reals today | |

R$100,000 reals in 2013 | R$154,800.79 reals today | |

R$500,000 reals in 2013 | R$774,003.95 reals today | |

R$1,000,000 reals in 2013 | R$1,548,007.89 reals today |

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